Question

Under 3 atm , 12.5 litre of a certain gas weigth 15 g , calculate the average speed of gaseous molecules.

Answer 1

Pressure = 3atm

Volume = 12.5 litre

Weight = 15 g

For gas,

We have $PV=\frac{w}{m}RT$

$3\times 12.5=15m\times 0.0821\times T$

$T_m=30.45$

Now,$U_{AV}=\sqrt{\frac{8RT}{\pi m}}$

$=\sqrt{\frac{8\times 8.314\times 107\times 30.4\times 7}{22}}$

$=8.028\times {10}^{4}cmSe{c}^{-1}$